Skip to main content
Log in

Distribution of the electric field and current in a turbulent conducting fluid for small magnetic Reynolds numbers

  • Fluids
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

Various aspects of the influence of an external magnetic field on turbulent flow of a conducting fluid are investigated. The distributions of electric variables are determined for weak magnetic fields (both the electric field and the current have nonzero values in this case). For very strong magnetic fields it is shown that turbulent motion acquires a two-dimensional character. The emergence of an electric current component perpendicular to the flow and to the magnetic field is described in the case of a temperature-stratified medium in the presence of turbulent heat flux.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, 2nd ed. (rev. and enl., with L. P. Pitaevskii), Pergamon Press, New York (1984).

    Google Scholar 

  2. T. Cowling, Magnetohydrodynamics, Interscience, New York (1957).

    Google Scholar 

  3. B. V. Eliseev, Dokl. Akad. Nauk SSSR 161, 560 (1965) [Sov. Phys. Dokl. 10, 239 (1965)].

    Google Scholar 

  4. S. P. Pikelner, Fundamentals of Cosmic Electrodynamics, NASA, Washington, D.C. (1964).

    Google Scholar 

  5. A. L. Tseskis, Teplofiz. Vys. Temp. 33, 496 (1995).

    Google Scholar 

  6. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics [in Russian], Part I, Nauka, Moscow (1965).

    Google Scholar 

  7. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics [in Russian], Part II, Nauka, Moscow (1967).

    Google Scholar 

  8. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, 2nd ed., Pergamon Press, New York (1987).

    Google Scholar 

  9. R. Moreau, Magn. Gidrodin., No. 4, 31 (1970).

  10. L. G. Kit and A. B. Tsinober, Magn. Gidrodin., No. 3, 37 (1972).

  11. R. H. Kraichnan and D. Montgomery, Rep. Prog. Phys. 4, 547 (1980).

    ADS  MathSciNet  Google Scholar 

  12. A. L. Tseskis, Zh. Éksp. Teor. Fiz. 83, 176 (1982) [Sov. Phys. JETP 56, 95(1982)].

    ADS  Google Scholar 

  13. J. Sommeria and R. Moreau, J. Fluid Mech. 118, 507 (1982).

    ADS  Google Scholar 

  14. J. Verron and J. Sommeria, Phys. Fluids 30, 732 (1987).

    Article  ADS  Google Scholar 

  15. H. Greenspan, The Theory of Rotating Fluids, Cambridge Univ. Press, New York (1968).

    Google Scholar 

  16. A. M. Dykhne, Zh. Éksp. Teor. Fiz. 59, 110 (1970) [Sov. Phys. JETP 32, 63 (1971)].

    Google Scholar 

  17. D. A. Frank-Kamenetskii, Lectures in Plasma Physics, Atomizdat, Moscow (1968).

    Google Scholar 

  18. S. I. Vainshtein and Ya. B. Zel’dovich, Usp. Fiz. Nauk 106, 432 (1972) [Sov. Phys. Usp. 15, (1972)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Zh. Éksp. Teor. Fiz. 111, 528–535 (February 1997)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bityurin, V.A., Tseskis, A.L. Distribution of the electric field and current in a turbulent conducting fluid for small magnetic Reynolds numbers. J. Exp. Theor. Phys. 84, 289–292 (1997). https://doi.org/10.1134/1.558115

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.558115

Keywords

Navigation